111331110796704 has 288 divisors, whose sum is σ = 339728203563840. Its totient is φ = 35821945958400.

The previous prime is 111331110796673. The next prime is 111331110796709. The reversal of 111331110796704 is 407697011133111.

111331110796704 is a `hidden beast` number, since 111 + 331 + 110 + 7 + 96 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 111331110796704.

It is not an unprimeable number, because it can be changed into a prime (111331110796709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956304259 + ... + 956420669.

It is an arithmetic number, because the mean of its divisors is an integer number (1179611817930).

Almost surely, 2^{111331110796704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111331110796704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169864101781920).

111331110796704 is an abundant number, since it is smaller than the sum of its proper divisors (228397092767136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111331110796704 is a wasteful number, since it uses less digits than its factorization.

111331110796704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120706 (or 120686 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 111331110796704 in words is "one hundred eleven trillion, three hundred thirty-one billion, one hundred ten million, seven hundred ninety-six thousand, seven hundred four".